We introduce a simple method to extract the representation content of the spectrum of a system with SU(2) symmetry from its partition function. The method is easily generalized to systems with SO(2,4) symmetry, such as conformal field theories in four dimensions. As a specific application we obtain an explicit generating function for the representation content of free planar Yang-Mills theory o...

We investigate the Miura map between the dispersionless KP and dispersionless modified KP hierarchies. We show that the Miura map is canonical with respect to their bi-Hamiltonian structures. Moreover, inspired by the works of Takasaki and Takebe, the twistor construction of solution structure for the dispersionless modified KP hierarchy is given.

The relationship between historians and film has been difficult. The first step for historians was to recognize film as a worthwhile source to study, a process which started in the 1960s. Paul Smith‘s The Historian and Film, published in 1976 (Smith, 1976) was the first publication in the English language on this topic and has been regarded as a milestone (Jackson, 1977: 713). By then, films we...

If F is an involution and φ a suitable collineation, then φ ◦ F ◦ φ−1 is an involution; this form includes well-known conjugacies and new conjugacies, including aleph, beth, complementary, and anticomplementary. If Z(U) is the self-isogonal cubic with pivot U , then φ carries Z(U) to a pivotal cubic. Particular attention is given to the Darboux and Lucas cubics, D and L, and conjugacy-preservin...

We investigate the computing power of function algebras defined by means of unbounded recursion on notation. We introduce two function algebras which contain respectively the regressive logspace computable functions and the non-size-increasing logspace computable functions. However, such algebras are unlikely to be contained in the set of logspace computable functions because this is equivalent...

We present a reinterpretation of lexical information embedded in the English WordNet in an alternate type of structure called lexical system. First, we characterize lexical systems as graphs of lexical units (word senses) connected mainly by Meaning-Text lexical function relations, then introduce a hand-built lexical system: the French Lexical Network or frLN, a lexical resource that implements...

In a Hamiltonian system with first class constraints observables can be defined as elements of a quotient Poisson bracket algebra. In the gauge fixing approach observables form a quotient Dirac bracket algebra. We show that these two algebras are isomorphic. A new realization of the observable algebras through the original Poisson bracket is found.Generators, brackets and pointwise products of ...

This paper deals with the single-item capacitated lot sizing problem with concave production and storage costs, considering minimum order quantity and dynamic time windows. This problem models a lot sizing where the production lots are constrained in amount and frequency. In this problem, a demand must be satisfied at each period t over a planning horizon of T periods. This demand can be satisf...

The G-values of various games, by R. K. Guy and C. A. B. Smith, introduced a broad class of impartial games and gave complete normalplay solutions for many of them. In this paper, we announce misère-play solutions to many of the games considered by Guy and Smith. They are described in terms of misère quotients—commutative monoids that encode the additive structure of specific misère-play games....

which is still the best known estimate for arbitrary convex bodies. Another class consists of convex bodies with small volume ratio with respect to the ellipsoid of minimal volume. This includes the class of zonoids. K. Ball [BA] solved the problem for the duals of zonoids, i.e. unit balls of subspaces of an L1-space, briefly L1-sections. Theorem 1 (K. Ball) For a convex, symmetric body K ⊂ IR ...